Submission #1031818

# Submission time Handle Problem Language Result Execution time Memory
1031818 2024-07-23T07:40:23 Z joelgun14 Knapsack (NOI18_knapsack) C++17
100 / 100
44 ms 4260 KB
// header file
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
// pragma
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
// macros
#define endl "\n"
#define ll long long
#define mp make_pair
#define ins insert
#define lb lower_bound
#define pb push_back
#define ub upper_bound
#define lll __int128
#define fi first
#define se second
using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
int main() {
  ios_base::sync_with_stdio(0); cin.tie(NULL);
  int s, n;
  cin >> s >> n;
  // for each weight, get list of items that can actually be part of optimal
  vector<pair<int, int>> a[s + 1];
  for(int i = 1; i <= n; ++i) {
    int v, w, k;
    cin >> v >> w >> k;
    a[w].pb(mp(v, k));
  }
  // weight, value
  vector<pair<int, int>> items = {mp(0, 0)};
  for(int i = 1; i <= s; ++i) {
    sort(a[i].begin(), a[i].end());
    int cnt = 0, lim = s / i;
    while(a[i].size() && cnt < lim) {
      --a[i].back().se;
      items.pb(mp(i, a[i].back().fi));
      ++cnt;
      if(a[i].back().se == 0)
        a[i].pop_back();
    }
  }
  int dp[2][s + 1];
  memset(dp, 0, sizeof(dp));
  for(int i = 1; i < items.size(); ++i) {
    int cur = i & 1, pr = (i & 1) ^ 1;
    for(int j = 0; j <= s; ++j) {
      dp[cur][j] = dp[pr][j];
      if(j - items[i].fi >= 0)
        dp[cur][j] = max(dp[cur][j], dp[pr][j - items[i].fi] + items[i].se);
    }
  }
  cout << dp[(items.size() - 1) & 1][s] << endl;
  return 0;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:49:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   49 |   for(int i = 1; i < items.size(); ++i) {
      |                  ~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 2 ms 456 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 456 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 3 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 456 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 3 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 19 ms 2268 KB Output is correct
36 Correct 23 ms 2740 KB Output is correct
37 Correct 22 ms 2524 KB Output is correct
38 Correct 20 ms 2812 KB Output is correct
39 Correct 22 ms 3532 KB Output is correct
40 Correct 44 ms 4260 KB Output is correct
41 Correct 28 ms 3156 KB Output is correct
42 Correct 29 ms 3164 KB Output is correct
43 Correct 38 ms 3240 KB Output is correct
44 Correct 36 ms 3160 KB Output is correct
45 Correct 22 ms 3676 KB Output is correct
46 Correct 23 ms 3160 KB Output is correct
47 Correct 24 ms 3672 KB Output is correct
48 Correct 32 ms 3720 KB Output is correct
49 Correct 21 ms 3420 KB Output is correct
50 Correct 32 ms 3484 KB Output is correct